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23253416944 = 2423312471399
BaseRepresentation
bin10101101010000000…
…101111101111110000
32020000120101222021121
4111222000233233300
5340110333320234
614403225232024
71452145532332
oct255200575760
966016358247
1023253416944
119952a4735a
12460b632614
132267729c14
1411a8417452
159116bb4b4
hex56a02fbf0

23253416944 has 120 divisors (see below), whose sum is σ = 49646822400. Its totient is φ = 10525933440.

The previous prime is 23253416939. The next prime is 23253416993. The reversal of 23253416944 is 44961435232.

It is a self number, because there is not a number n which added to its sum of digits gives 23253416944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16620757 + ... + 16622155.

It is an arithmetic number, because the mean of its divisors is an integer number (413723520).

Almost surely, 223253416944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23253416944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24823411200).

23253416944 is an abundant number, since it is smaller than the sum of its proper divisors (26393405456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23253416944 is a wasteful number, since it uses less digits than its factorization.

23253416944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1502 counting only the distinct ones).

The product of its digits is 622080, while the sum is 43.

The spelling of 23253416944 in words is "twenty-three billion, two hundred fifty-three million, four hundred sixteen thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 23 31 46 47 62 92 94 124 184 188 248 368 376 496 713 752 961 1081 1399 1426 1457 1922 2162 2798 2852 2914 3844 4324 5596 5704 5828 7688 8648 11192 11408 11656 15376 17296 22103 22384 23312 32177 33511 43369 44206 45167 64354 65753 67022 86738 88412 90334 128708 131506 134044 173476 176824 180668 257416 263012 268088 346952 353648 361336 514832 526024 536176 693904 722672 997487 1038841 1052048 1344439 1512319 1994974 2038343 2077682 2688878 3024638 3989948 4076686 4155364 5377756 6049276 7979896 8153372 8310728 10755512 12098552 15959792 16306744 16621456 21511024 24197104 30922097 32613488 46881889 61844194 63188633 93763778 123688388 126377266 187527556 247376776 252754532 375055112 494753552 505509064 750110224 1011018128 1453338559 2906677118 5813354236 11626708472 23253416944